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August 31, 2013 2013 年 8 月 31 日 (Makoto Kamada)

n=47650: c19028(4009437211......) = 5825125443451 * c19015(6883005783......)

n=47670: c10837(1292495573......) = 10848961266571 * c10824(1191354215......)

August 30, 2013 2013 年 8 月 30 日 (Makoto Kamada)

n=48306: c15736(1159633089......) = 4834969036171 * c15723(2398429194......)

n=48366: c16109(3228760726......) = 9741806929171 * c16096(3314334547......)

n=48378: c14624(4345792495......) = 6108139760251 * c14611(7114756154......)

n=48208: c22881(1000000009......) = 10962695358353 * c22867(9121844375......)

n=48036: c16009(1009998990......) = 6400741518421 * c15996(1577940598......)

n=47806: c20796(1901585351......) = 7762203569891 * c20783(2449800929......)

n=47838: c12673(1098900989......) = 4929532295899 * c12660(2229219575......)

n=47864: c23035(6964824190......) = 4599101131993 * c23023(1514388136......)

# 75104 of 100000 Phi_n(10) factorizations were cracked.

August 29, 2013 2013 年 8 月 29 日 (Makoto Kamada)

n=49956: c15834(2131122241......) = 4082332033669 * c15821(5220354991......)

n=49826: c21331(1009624735......) = 9451714420051 * c21318(1068192171......)

n=49514: c23430(2244033777......) = 4175619549887 * c23417(5374133707......)

n=49402: c23215(1534239363......) = 5168173680331 * c23202(2968629651......)

n=49288: c23981(3377680372......) = 5868238102553 * c23968(5755867968......)

n=49110: c13088(9100090999......) = 6688659372331 * c13076(1360525404......)

n=49182: c14033(7941074882......) = 15344070516727 * c14020(5175337844......)

n=49032: c16263(1386461195......) = 5468784169033 * c16250(2535227488......)

n=48954: c15828(2578628117......) = 6221081124607 * c15815(4144983912......)

n=48790: c15361(1099988890......) = 4388895423851 * c15348(2506300068......)

# 75101 of 100000 Phi_n(10) factorizations were cracked.

August 28, 2013 2013 年 8 月 28 日 (Makoto Kamada)

n=52456: c25555(2933668244......) = 15368376857681 * c25542(1908899210......)

n=52386: c17449(4936283783......) = 10492187739373 * c17436(4704723081......)

n=52002: c17173(1000000000......) = 15410662226983 * c17159(6489013809......)

n=52080: c11505(1981100817......) = 11142729215521 * c11492(1777931401......)

n=51911: c47506(7590224002......) = 14020076056279 * c47493(5413825126......)

n=51792: c15730(3481092035......) = 15220896736657 * c15717(2287047928......)

n=51516: c16840(1439484238......) = 14079524742721 * c16827(1022395475......)

n=25737: c16350(4950060163......) = 18659426815573 * c16337(2652846848......)

n=51398: c24830(1487090452......) = 14682398013037 * c24817(1012838945......)

n=51277: c50140(9000000000......) = 12604250974363 * c50127(7140448106......)

n=51130: c20428(8531804793......) = 14952661975651 * c20415(5705876858......)

n=51012: c15552(9999990000......) = 14255072570701 * c15539(7015039699......)

n=51054: c16632(9100000000......) = 15142634371009 * c16619(6009522370......)

n=51068: c23963(1309777032......) = 15930069496249 * c23949(8222042173......)

n=51080: c20373(7551246010......) = 14520978266881 * c20360(5200232292......)

n=50874: c16542(9016088611......) = 19547093123527 * c16529(4612495860......)

n=50484: c14390(3888831366......) = 15438260225809 * c14377(2518956999......)

n=50384: c24261(1278651813......) = 15000660138209 * c24247(8523970287......)

n=50034: c16070(2763082660......) = 13552108871797 * c16057(2038858074......)

# 75099 of 100000 Phi_n(10) factorizations were cracked.

August 27, 2013 2013 年 8 月 27 日 (Makoto Kamada)

n=54144: c17653(1282370794......) = 18576426309121 * c17639(6903215790......)

n=54156: c18038(2619564737......) = 14960225656081 * c18025(1751019535......)

n=54184: c24949(1196874202......) = 11237704164961 * c24936(1065052242......)

n=27023: c26513(3899878336......) = 13255563707759 * c26500(2942069023......)

n=53908: c26941(1495176482......) = 11513615114761 * c26928(1298616002......)

n=53920: c21493(1269512728......) = 18553222048321 * c21479(6842545864......)

n=53926: c26439(1260852482......) = 17685127688281 * c26425(7129450826......)

n=53982: c17989(1000999998......) = 15629278039489 * c17975(6404646436......)

n=53760: c12268(5436915706......) = 15965447070721 * c12255(3405426532......)

n=53556: c17829(4889973560......) = 14692434949021 * c17816(3328225428......)

n=53268: c16873(9393090112......) = 10683845623669 * c16860(8791862446......)

n=53094: c17690(7665651920......) = 19151412234571 * c17677(4002656215......)

n=52710: c12001(1098890000......) = 13714016694211 * c11987(8012896765......)

n=52732: c26351(2820320127......) = 12410551870421 * c26338(2272517900......)

# 75095 of 100000 Phi_n(10) factorizations were cracked.

August 26, 2013 2013 年 8 月 26 日 (Kurt Beschorner)

n=4851: c2489(8321662880......) = 125218763184766298575714957 * c2463(6645699629......)

# ECM B1=1e6, sigma=2190249137

n=97301: c97289(6606077559......) = 4816019551465723 * c97274(1371688276......)

# mfaktc

August 26, 2013 2013 年 8 月 26 日 (Makoto Kamada)

n=56792: c27353(2934979018......) = 16085058110929 * c27340(1824661744......)

n=28154: c12050(1445558168......) = 13362512123717 * c12037(1081801202......)

n=56394: c17271(6882155483......) = 16187031770131 * c17258(4251647603......)

n=56158: c27362(6162241495......) = 16524804861641 * c27349(3729085787......)

n=56024: c27225(5219671664......) = 15300147228929 * c27212(3411517279......)

n=55932: c18078(3930557111......) = 11153017489189 * c18065(3524209582......)

n=55960: c22359(1534841468......) = 14657752772801 * c22346(1047119222......)

n=55876: c27361(1009999999......) = 11881651331449 * c27347(8500501923......)

n=55896: c17408(9999000100......) = 13998058085569 * c17395(7143133739......)

n=55722: c18000(9100000000......) = 14666617877047 * c17987(6204566094......)

n=55572: c16793(2994374078......) = 16989653504869 * c16780(1762469186......)

n=55348: c27189(5369019507......) = 10673326916929 * c27176(5030314867......)

n=55216: c21500(1811036438......) = 18860099358577 * c21486(9602475594......)

n=18407: c18084(2678864167......) = 12212554100707 * c18071(2193533101......)

n=55186: c26868(6615176201......) = 10058527171493 * x26855(6576684725......)

n=55186: x26855(6576684725......) = 16820934845797 * c26842(3909821175......)

n=55042: c24187(4129059536......) = 19157644631009 * c24174(2155306466......)

n=54646: c26924(2012919281......) = 16896479810641 * c26911(1191324645......)

n=54568: c25777(1000099999......) = 15084647884457 * c25763(6629919423......)

n=54578: c26308(6534794636......) = 10588592310853 * c26295(6171542396......)

n=27295: c21208(1063570287......) = 12370043122121 * c21194(8597951330......)

n=54599: c53755(8241833716......) = 11673801161003 * c53742(7060111443......)

n=54416: c25633(1000000009......) = 11115597567329 * c25619(8996367527......)

n=54468: c16896(9999990000......) = 19082392379461 * c16883(5240427825......)

# 75093 of 100000 Phi_n(10) factorizations were cracked.

August 25, 2013 2013 年 8 月 25 日 (Maksym Voznyy)

n=60161: c60161(1111111111......) = 484481392691781979163 * c60140(2293403065......)

n=60209: c60181(2234563636......) = 1017030679358529427 * c60163(2197144768......)

n=60331: c60314(1030235355......) = 9640498743441689 * c60298(1068653585......)

n=60623: c60623(1111111111......) = 2807418520127602597 * c60604(3957767974......)

n=60703: c60676(1287043197......) = 268312728026874773677 * c60655(4796802623......)

n=60889: c60874(8249649141......) = 10867847100929587 * c60858(7590877075......)

n=60923: c60923(1111111111......) = 157344629807484989561 * c60902(7061639869......)

n=61717: c61709(5807523378......) = 11721973047137702620409 * c61687(4954390660......)

n=61729: c61729(1111111111......) = 29732211560834509231 * c61709(3737061768......)

n=61909: c61889(1125254108......) = 1411084889981104395107 * x61867(7974389890......)

n=61909: x61867(7974389890......) = 1916633738322044833919 * c61846(4160622726......)

n=62143: c62129(2603551617......) = 1381259971354409 * c62114(1884910640......)

n=62171: c62171(1111111111......) = 28897095645152958323 * c62151(3845061540......)

n=62219: c62183(1995174283......) = 7463899925764405241 * c62164(2673098921......)

n=62423: c62405(1819123275......) = 10624201542015827 * c62389(1712244697......)

n=62639: c62617(2655523045......) = 38583640343804428333009 * c62594(6882510364......)

n=62939: c62933(1260982686......) = 50371122289426100369 * c62913(2503384139......)

# Prime95, 80 ECM curves with B1=11000

# 75087 of 100000 Phi_n(10) factorizations were cracked.

# 7454 of 9592 R_prime factorizations were cracked.

August 25, 2013 2013 年 8 月 25 日 (Makoto Kamada)

n=58224: c19362(9009517015......) = 14425646536753 * c19349(6245485769......)

n=29073: c17556(7121520772......) = 18164829471889 * c17543(3920499657......)

n=58002: c16560(9100000909......) = 10660173891529 * c16547(8536446968......)

n=58042: c29003(3579215634......) = 12294925303277 * c28990(2911132476......)

n=58072: c23036(1721798443......) = 18622637612713 * c23022(9245728124......)

n=58080: c14063(6246558888......) = 15329474318401 * c14050(4074868295......)

n=57782: c28545(1001423997......) = 19401092335201 * c28531(5161688735......)

n=57630: c14329(4048412172......) = 12979434074851 * c14316(3119097604......)

n=57646: c25913(4308806899......) = 11418406520903 * c25900(3773562354......)

n=57696: c19188(1976320928......) = 13321032376129 * c19175(1483609432......)

n=57516: c19160(2468069351......) = 13359028108189 * c19147(1847491697......)

n=14383: c13576(4054000052......) = 10883313539213 * c13563(3724968538......)

n=57543: c38340(4176126551......) = 18077870690917 * c38327(2310076569......)

n=57598: c27831(2428613164......) = 18509564375677 * c27818(1312085533......)

n=57462: c18715(3959120988......) = 12966864806689 * c18702(3053260018......)

n=57483: c38279(1635598479......) = 14728584664117 * c38266(1110492635......)

n=57356: c26436(8629796085......) = 10062072228469 * c26423(8576559469......)

n=57122: c26353(5477540684......) = 14035366135103 * c26340(3902670320......)

n=57144: c19031(2277849357......) = 11412142695433 * c19018(1995987447......)

n=57080: c22811(2920161994......) = 12986945828081 * c22798(2248536363......)

n=56994: c15313(1098900989......) = 15008252361649 * c15299(7321978352......)

n=56896: c24188(1757561910......) = 12730653589697 * c24175(1380574766......)

n=56718: c17929(2851714029......) = 13386196507447 * c17916(2130339284......)

n=56722: c27899(9600107897......) = 11320194340277 * x27886(8480515094......)

n=56722: x27886(8480515094......) = 18397684612933 * c27873(4609555644......)

# 75082 of 100000 Phi_n(10) factorizations were cracked.

August 24, 2013 2013 年 8 月 24 日 (Makoto Kamada)

n=58708: c27073(1009999999......) = 15954575961949 * c27059(6330472225......)

n=58762: c26694(1451130093......) = 10478728831517 * c26681(1384834093......)

n=58574: c29269(6678005601......) = 19223856355703 * c29256(3473811642......)

n=58435: c40314(1604362467......) = 12162600244471 * c40301(1319094959......)

n=58438: c28669(1603466031......) = 14638853524277 * c28656(1095349461......)

# 75080 of 100000 Phi_n(10) factorizations were cracked.

August 22, 2013 2013 年 8 月 22 日 (Makoto Kamada)

n=60598: c29503(3359215329......) = 14897220587929 * c29490(2254927561......)

n=30228: c9120(9901000000......) = 11230150160329 * c9107(8816444890......)

n=60384: c18422(4497336828......) = 19276406058241 * c18409(2333078487......)

n=60388: c29147(2397938002......) = 16691080514729 * c29134(1436658340......)

n=60398: c26400(9090909090......) = 13688745380077 * c26387(6641155809......)

n=60264: c19423(1248465633......) = 18430640966161 * c19409(6773859006......)

n=59876: c29927(1247892551......) = 12937718854829 * c29913(9645383127......)

n=59622: c18786(5870312539......) = 10923267084253 * c18773(5374136230......)

n=59628: c19868(1693805010......) = 11171398879309 * c19855(1516197773......)

n=59564: c29775(8311150180......) = 13318981551241 * c29762(6240079355......)

n=59596: c29073(1009999999......) = 12753357166541 * c29059(7919483370......)

n=59428: c29184(6704282292......) = 18204672304249 * c29171(3682726159......)

n=59354: c29104(3102263486......) = 19662676311329 * c29091(1577742234......)

n=59212: c29121(1009999999......) = 17140610119861 * c29107(5892439026......)

n=59250: c15590(5844117885......) = 15027671826001 * c15577(3888904384......)

n=59114: c26848(6022309315......) = 19342015202929 * c26835(3113589381......)

# 75079 of 100000 Phi_n(10) factorizations were cracked.

August 21, 2013 2013 年 8 月 21 日 (Makoto Kamada)

n=61560: c15536(2921376016......) = 19398990101761 * c15523(1505942320......)

n=61016: c29338(9641627613......) = 17563251257417 * c29325(5489659899......)

n=60984: c15833(5411796298......) = 16501951026793 * c15820(3279488764......)

n=60677: c59334(4944210082......) = 15304612863053 * c59321(3230535869......)

n=60504: c20161(1000099999......) = 13503498295753 * c20147(7406228949......)

n=60572: c28657(1009999999......) = 13461914331709 * c28643(7502647655......)

# 75075 of 100000 Phi_n(10) factorizations were cracked.

August 20, 2013 2013 年 8 月 20 日 (Makoto Kamada)

n=63434: c25872(9090910000......) = 16656269137411 * c25859(5457950952......)

n=63206: c24936(1508327753......) = 15405207228841 * c24922(9791025402......)

n=63036: c19578(8813289396......) = 10222422678361 * c19565(8621527081......)

n=62818: c26869(4223510263......) = 11807243954171 * c26856(3577050055......)

n=62686: c28909(1010566381......) = 10824371559847 * c28895(9336028199......)

n=62532: c20722(1029914384......) = 14613797435329 * c20708(7047547967......)

n=62428: c31198(1163681324......) = 19963926594301 * c31184(5828920072......)

n=62244: c15543(6576267537......) = 12499140581929 * c15530(5261375767......)

n=62133: c40834(9833298330......) = 16862327310253 * c40821(5831519071......)

n=62200: c24790(5884719151......) = 10038394680401 * c24777(5862211378......)

n=62040: c14721(1000099999......) = 10191693214561 * c14707(9812893490......)

n=61951: c60393(2751441304......) = 19397072326559 * c60380(1418482778......)

n=61982: c29144(5644748019......) = 19941620096081 * c29131(2830636624......)

n=61894: c26521(1099999890......) = 15707271966863 * c26507(7003125000......)

# 75073 of 100000 Phi_n(10) factorizations were cracked.

August 18, 2013 2013 年 8 月 18 日 (Makoto Kamada)

n=64974: c16122(5307160366......) = 18182642207731 * c16109(2918805917......)

n=64806: c18504(9100000909......) = 12902683163077 * c18491(7052797309......)

n=64792: c25323(3255571679......) = 10991632555177 * c25310(2961863638......)

n=64314: c21379(1295724497......) = 12144906873091 * c21366(1066887141......)

n=64206: c20133(1912847047......) = 15382857496087 * c20120(1243492665......)

n=64272: c19584(9999999900......) = 13303534921249 * c19571(7516799075......)

n=64176: c18240(9999999900......) = 17850349678561 * c18227(5602131095......)

n=63802: c28499(6417388610......) = 15027361494797 * c28486(4270469312......)

n=63846: c21270(6816669712......) = 14421887101459 * c21257(4726614253......)

n=63888: c19361(1000000000......) = 12142103316817 * c19347(8235805394......)

n=63706: c31185(2443027699......) = 14651662224499 * c31172(1667406511......)

n=63546: c16897(1098900989......) = 18265207377733 * c16883(6016361962......)

n=63572: c30343(9682743687......) = 18173851091849 * c30330(5327843635......)

# 75070 of 100000 Phi_n(10) factorizations were cracked.

August 18, 2013 2013 年 8 月 18 日 (Kurt Beschorner)

n=3909: c2590(7003328326......) = 23962022567879028385671296341039 * c2559(2922678295......)

# ECM B1=1e6, sigma=4220364329

August 18, 2013 2013 年 8 月 18 日 (Mr. Hankey)

# via yoyo@home

n=2700M: c250(3336126656......) = 156769564119516597956194927133905066434402684839835301 * c197(2128044863......)

# ECM B1=260000000, sigma=3771820261

# c197 is the 8th smallest composite factor in the list.

# n=2700M has the 2nd biggest factored part (45.46%) in the list.

# 156769564119516597956194927133905066434402684839835301 is the largest known factor that appears after n=1980L.

Largest known factors that appear after the previous one
  1  n=786: 22470645744200057762885095342697894721605325430609487291715500041029950763944163993319007373686738769124162721892380653 (Serge Batalov and Bruce Dodson / Aug 12, 2009)
  2  n=1180M: 75037358034332057078790154693096980495187922731710294362515981973078279750268757439593899891657607361 (NFS@Home / Jan 2, 2012)
  3  n=1220M: 27186363592392725942593454290345801336551729326489701011779461 (Shaopu Lin / Sep 7, 2007)
  4  n=1980L: 53125155761987678805593513985958923168195287588798092019101 (Yousuke Koide / Jan 8, 2012)
  5  n=2700M: 156769564119516597956194927133905066434402684839835301 (Mr. Hankey / Aug 18, 2013)
  6  n=5100L: 185898550709887865845976723509058449254706894935901 (Frank Boerner / Jun 28, 2010)
  7  n=13980M: 21166873440679239162423181074773929272724025103001 (Kurt Beschorner / Jul 14, 2011)
  8  n=82700L: 7732652742988151960568776872507813340801 (Alfred Reich / Dec 12, 2010)
  9  n=92954: 722626696550806668509721658158625321 (Serge Batalov / Jul 13, 2012)
  10  n=99888: 507158594659660735799020236772273 (Serge Batalov / May 25, 2012)
  11  n=99964: 631238272453319833476562669 (Serge Batalov / May 16, 2012)
  12  n=100000: 10667937242260969298800001 (Serge Batalov / May 15, 2011)

August 17, 2013 2013 年 8 月 17 日 (Makoto Kamada)

n=65026: c28791(2117347460......) = 19718124386117 * c28778(1073807741......)

August 16, 2013 2013 年 8 月 16 日 (Kurt Beschorner)

n=3905: c2791(2855268548......) = 234319108154158641546491927393521 * c2759(1218538501......)

# ECM B1=1e6, sigma=1780671200

n=3955: c2669(1616753721......) = 18699195740628861752337907980860591 * c2634(8646113680......)

# ECM B1=1e6, sigma=2795985944

August 16, 2013 2013 年 8 月 16 日 (Makoto Kamada)

n=65636: c32161(1009999999......) = 16411765244681 * c32147(6154121661......)

n=65502: c21800(2571028119......) = 18663895754047 * c21787(1377540977......)

# 75065 of 100000 Phi_n(10) factorizations were cracked.

August 11, 2013 2013 年 8 月 11 日 (Alfred Reich)

n=20682: p6846(3573097616......) is definitely prime.

# Certification is available at: http://stdkmd.com/nrr/cert/Phi/index.htm#CERT_PHI_20682_10

The following probable prime factors are not certificated yet.
n=5059: p5052(3358264755......)   http://factordb.com/index.php?id=1100000000013350149
n=5237: p5192(8225727009......)   http://factordb.com/index.php?id=1100000000021164062
n=5323: p5277(5494980776......)   http://factordb.com/index.php?id=1100000000013354497
n=6119: p5837(3754893657......)   http://factordb.com/index.php?id=1100000000416753186
n=7509: p4955(2355545077......)   http://factordb.com/index.php?id=1100000000476125842
n=7597: p7380(2662259922......)   http://factordb.com/index.php?id=1100000000476127140
n=7745: p6175(2562004991......)   http://factordb.com/index.php?id=1100000000559428116
n=7797: p4906(5138372273......)   http://factordb.com/index.php?id=1100000000592789033
n=8223: p5371(1070563618......)   http://factordb.com/index.php?id=1100000000419315002
n=10455: p5109(3759996113......)   http://factordb.com/index.php?id=1100000000032404131
n=10679: p10398(3212734537......)   http://factordb.com/index.php?id=1100000000587092362
n=10703: p8264(5790721458......)   http://factordb.com/index.php?id=1100000000596419742
n=12351: p7775(2639345918......)   http://factordb.com/index.php?id=1100000000589822155
n=12413: p12382(1389253690......)   http://factordb.com/index.php?id=1100000000013490240
n=14011: p13957(3202159838......)   http://factordb.com/index.php?id=1100000000575379519
n=14485: p11566(1953572169......)   http://factordb.com/index.php?id=1100000000615401029
n=14582: p6934(4212511300......)   http://factordb.com/index.php?id=1100000000032355112
n=14825: p11812(4191829575......)   http://factordb.com/index.php?id=1100000000583602914
n=15332: p7647(3599323721......)   http://factordb.com/index.php?id=1100000000014723489
n=15472: p7724(6462870742......)   http://factordb.com/index.php?id=1100000000014723987
n=15728: p7851(2119357982......)   http://factordb.com/index.php?id=1100000000014724861
n=15934: p7655(9398162882......)   http://factordb.com/index.php?id=1100000000032355349
n=16597: p14213(3389166928......)   http://factordb.com/index.php?id=1100000000032433692
n=16815: p8343(8867846097......)   http://factordb.com/index.php?id=1100000000032435874
n=18170: p6846(5144476898......)   http://factordb.com/index.php?id=1100000000032355788
n=18827: p18480(9000000000......)   http://factordb.com/index.php?id=1100000000032454351
n=19498: p9730(8251811537......)   http://factordb.com/index.php?id=1100000000014739626
n=20233: p20211(4205088806......)   http://factordb.com/index.php?id=1100000000013669684
n=20581: p18686(3423440887......)   http://factordb.com/index.php?id=1100000000587111590
n=21148: p9883(2211679650......)   http://factordb.com/index.php?id=1100000000591597385
n=21469: p18369(2534810559......)   http://factordb.com/index.php?id=1100000000615459222
n=21786: p7256(2521977139......)   http://factordb.com/index.php?id=1100000000032356709
n=21858: p7276(1149947374......)   http://factordb.com/index.php?id=1100000000032356727
n=21865: p17480(4725842171......)   http://factordb.com/index.php?id=1100000000032485925
n=22327: p21964(1003011728......)   http://factordb.com/index.php?id=1100000000032491510
n=22575: p10060(1762423748......)   http://factordb.com/index.php?id=1100000000032494459
n=23572: p11466(4152899286......)   http://factordb.com/index.php?id=1100000000591599582
n=24466: p11262(8383530241......)   http://factordb.com/index.php?id=1100000000032357453
n=24792: p8245(7484034255......)   http://factordb.com/index.php?id=1100000000015780486
n=24832: p12274(4612171090......)   http://factordb.com/index.php?id=1100000000602433947
n=25722: p8564(1297186619......)   http://factordb.com/index.php?id=1100000000032357932
n=25973: p24567(4967369915......)   http://factordb.com/index.php?id=1100000000597306296
n=26008: p12958(2371385622......)   http://factordb.com/index.php?id=1100000000615703735
n=26601: p17724(2959900507......)   http://factordb.com/index.php?id=1100000000032542308
n=26982: p8951(8406608028......)   http://factordb.com/index.php?id=1100000000597306316
n=27472: p12779(2206236194......)   http://factordb.com/index.php?id=1100000000015790968
n=27496: p11737(5951904519......)   http://factordb.com/index.php?id=1100000000015791070
n=28455: p12912(1713313150......)   http://factordb.com/index.php?id=1100000000615703749
n=28952: p10998(1599236780......)   http://factordb.com/index.php?id=1100000000615703752
n=29091: p19374(3948526192......)   http://factordb.com/index.php?id=1100000000032553440
n=29141: p23745(4638933562......)   http://factordb.com/index.php?id=1100000000615704066
n=30452: p14469(1040925734......)   http://factordb.com/index.php?id=1100000000589745584
n=30650: p12224(1815469202......)   http://factordb.com/index.php?id=1100000000032359447
n=30744: p8629(1825038389......)   http://factordb.com/index.php?id=1100000000015803663
n=31213: p24677(2908101418......)   http://factordb.com/index.php?id=1100000000615704078
n=31254: p10410(7175573812......)   http://factordb.com/index.php?id=1100000000032359627
n=31590: p7768(6960331352......)   http://factordb.com/index.php?id=1100000000032359729
n=32184: p10603(6671042459......)   http://factordb.com/index.php?id=1100000000615704083
n=32302: p15582(7580428912......)   http://factordb.com/index.php?id=1100000000615704087
n=32481: p21600(9999999999......)   http://factordb.com/index.php?id=1100000000556949265
n=34278: p10955(5420339387......)   http://factordb.com/index.php?id=1100000000615704117
n=34474: p15652(2718591171......)   http://factordb.com/index.php?id=1100000000031223055
n=35712: p11499(1854921265......)   http://factordb.com/index.php?id=1100000000615704122
n=37751: p32314(8689034915......)   http://factordb.com/index.php?id=1100000000615704125
n=38673: p25763(1136317924......)   http://factordb.com/index.php?id=1100000000615704126
n=41470: p13434(6631229424......)   http://factordb.com/index.php?id=1100000000022717472
n=41550: p11034(3760490463......)   http://factordb.com/index.php?id=1100000000022717730
n=43106: p18450(3377757599......)   http://factordb.com/index.php?id=1100000000622234960
n=43566: p14139(6962562835......)   http://factordb.com/index.php?id=1100000000022724114
n=44606: p22298(1019011701......)   http://factordb.com/index.php?id=1100000000022727396
n=47468: p23732(9900990099......)   http://factordb.com/index.php?id=1100000000022736528
n=47498: p20160(9090909091......)   http://factordb.com/index.php?id=1100000000022736618
n=47520: p11504(8700248466......)   http://factordb.com/index.php?id=1100000000615704186
n=47560: p17904(2209194873......)   http://factordb.com/index.php?id=1100000000615704191
n=49020L: p6027(1781565904......)   http://factordb.com/index.php?id=1100000000022741479   Maksym Voznyy
n=49081: p49081(1111111111......)   http://factordb.com/index.php?id=1100000000013937242
n=49671: p33095(2285982058......)   http://factordb.com/index.php?id=1100000000615704201
n=50131: p50068(2479448013......)   http://factordb.com/index.php?id=1100000000575655925
n=51300M: p6475(1949313938......)   http://factordb.com/index.php?id=1100000000022749153
n=51660M: p5754(4036177735......)   http://factordb.com/index.php?id=1100000000022750359
n=52028: p25995(3330698075......)   http://factordb.com/index.php?id=1100000000022751617
n=52062: p17353(1098901098......)   http://factordb.com/index.php?id=1100000000022751729
n=52066: p22288(1332570450......)   http://factordb.com/index.php?id=1100000000022751752
n=55315: p37998(3725063207......)   http://factordb.com/index.php?id=1100000000314608933
n=55601: p43057(1000000000......)   http://factordb.com/index.php?id=1100000000563716320
n=57740M: p11545(2824060999......)   http://factordb.com/index.php?id=1100000000022770929
n=58962: p18944(1338567545......)   http://factordb.com/index.php?id=1100000000022775164
n=59220L: p6614(4606819083......)   http://factordb.com/index.php?id=1100000000022776045
n=59340M: p7393(2555229610......)   http://factordb.com/index.php?id=1100000000022319751
n=59772: p18688(9901000000......)   http://factordb.com/index.php?id=1100000000022320970
n=64060L: p12809(2824060999......)   http://factordb.com/index.php?id=1100000000022333805
n=64410: p16115(1233544571......)   http://factordb.com/index.php?id=1100000000022334904
n=65626: p28057(1459800300......)   http://factordb.com/index.php?id=1100000000615704360
n=67347: p38382(7391571857......)   http://factordb.com/index.php?id=1100000000615704363
n=67366: p31075(5442877005......)   http://factordb.com/index.php?id=1100000000615704364
n=68102: p32033(1099999999......)   http://factordb.com/index.php?id=1100000000557665558
n=70740L: p9361(1000100005......)   http://factordb.com/index.php?id=1100000000615928441
n=70842: p23613(1098901098......)   http://factordb.com/index.php?id=1100000000293897389
n=71400: p15352(5670284275......)   http://factordb.com/index.php?id=1100000000615704371
n=72184: p30906(6297664618......)   http://factordb.com/index.php?id=1100000000615704376
n=73094: p29832(9090910000......)   http://factordb.com/index.php?id=1100000000556949394
n=73808: p31585(1000000009......)   http://factordb.com/index.php?id=1100000000556949493
n=74112: p24556(1016058865......)   http://factordb.com/index.php?id=1100000000615704390
n=75740M: p12953(1371715669......)   http://factordb.com/index.php?id=1100000000615933369
n=76537: p76529(1680243818......)   http://factordb.com/index.php?id=1100000000021230909
n=77061: p48301(1758205326......)   http://factordb.com/index.php?id=1100000000615704405
n=77077: p55441(1000000000......)   http://factordb.com/index.php?id=1100000000563445641
n=79710: p21248(9100090999......)   http://factordb.com/index.php?id=1100000000556949246
n=82360: p31360(9999000099......)   http://factordb.com/index.php?id=1100000000556949424
n=83967: p51639(4884525227......)   http://factordb.com/index.php?id=1100000000596833389
n=85113: p48339(7099610268......)   http://factordb.com/index.php?id=1100000000415323025
n=86154: p28202(1821117073......)   http://factordb.com/index.php?id=1100000000615720928
n=86340M: p11491(7801769750......)   http://factordb.com/index.php?id=1100000000593024392
n=86453: p86453(1111111111......)   http://factordb.com/index.php?id=1100000000046752372
n=87114: p29020(5179196579......)   http://factordb.com/index.php?id=1100000000615720934
n=87312: p27116(5668758151......)   http://factordb.com/index.php?id=1100000000615720957
n=88676: p37993(1009999999......)   http://factordb.com/index.php?id=1100000000563733924
n=90312: p29116(1107149590......)   http://factordb.com/index.php?id=1100000000615720958
n=92092: p31681(1009999999......)   http://factordb.com/index.php?id=1100000000556949529
n=92712: p30897(1000099999......)   http://factordb.com/index.php?id=1100000000556949399
n=93420L: p12372(1989086709......)   http://factordb.com/index.php?id=1100000000615934614
n=93811: p93765(2592502388......)   http://factordb.com/index.php?id=1100000000530981325
n=93914: p46945(2805905158......)   http://factordb.com/index.php?id=1100000000022414371
n=94100L: p18788(5376763212......)   http://factordb.com/index.php?id=1100000000615934625
n=96684: p27594(2048115086......)   http://factordb.com/index.php?id=1100000000615721010
n=97098: p32350(1718114428......)   http://factordb.com/index.php?id=1100000000536289244

August 13, 2013 2013 年 8 月 13 日 (Makoto Kamada)

n=66374: c25780(1091684967......) = 16214593268413 * c25766(6732731120......)

n=66378: c19009(1098901098......) = 11506242236893 * c18995(9550477699......)

n=66204: c22033(1000000000......) = 10817365307149 * c22019(9244395207......)

n=66262: c28379(9390257046......) = 14938659230321 * c28366(6285876732......)

n=66299: c65736(9000000000......) = 15991256081147 * c65723(5628075714......)

n=66160: c26420(1660207803......) = 13629477106561 * c26407(1218100878......)

n=66084: c22017(8885791771......) = 17334143266129 * c22004(5126178799......)

n=65801: c63504(9000000000......) = 16942254736763 * c63491(5312161893......)

# 75064 of 100000 Phi_n(10) factorizations were cracked.

August 12, 2013 2013 年 8 月 12 日 (Makoto Kamada)

n=66776: c31361(1000099999......) = 16545641156537 * c31347(6044492265......)

n=66600: c17275(7507451145......) = 14488334629201 * c17262(5181721251......)

# 75060 of 100000 Phi_n(10) factorizations were cracked.

August 11, 2013 2013 年 8 月 11 日 (Alfred Reich)

n=4063: p3732(5461019709......) is definitely prime.

# Certification is available at: http://stdkmd.com/nrr/cert/Phi/index.htm#CERT_PHI_4063_10

August 11, 2013 2013 年 8 月 11 日 (Kurt Beschorner)

n=3937: c3754(4029627813......) = 34273801582580459628182915501123 * c3723(1175716619......)

# ECM B1=1e6, sigma=3900670278

n=4063: c3762(3112351898......) = 569921381703467737556818195973 * p3732(5461019709......)

Primality testing 5461019709...... [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N+1 test using discriminant 5, base 1+sqrt(5)
Calling N-1 BLS with factored part 0.31% and helper 0.19% (1.11% proof)
5461019709...... is Fermat and Lucas PRP! (0.9488s+0.0398s)

# ECM B1=1e6, sigma=3454783678

# 1066 of 100000 Phi_n(10) factorizations were finished.

# 112 of 9592 R_prime factorizations were finished.

August 8, 2013 2013 年 8 月 8 日 (Makoto Kamada)

n=67299: c44822(8832312530......) = 14314297287373 * c44809(6170273226......)

n=66934: c28645(1000000099......) = 12917721173281 * c28631(7741304264......)

n=66936: c22305(1000099999......) = 16617731297833 * c22291(6018270376......)

n=66846: c20544(9100000000......) = 15818135496619 * c20531(5752890409......)

n=66868: c32833(1009999999......) = 12501280861481 * c32819(8079172135......)

# 75059 of 100000 Phi_n(10) factorizations were cracked.

August 7, 2013 2013 年 8 月 7 日 (Alfred Reich)

n=14408: p7186(4688304812......) is definitely prime.

# Certification is available at: http://stdkmd.com/nrr/cert/Phi/index.htm#CERT_PHI_14408_10

August 7, 2013 2013 年 8 月 7 日 (Propper)

n=283: c211(1551347780......) = 14581234319103066028775672489693676585356108680217557645894667901188624395417379659379946959868199 * p114(1063934469......)

# snfs

# 1065 of 100000 Phi_n(10) factorizations were finished.

# 112 of 9592 R_prime factorizations were finished.

# n=283 was the first composite on the list. n=323 is the first composite now.

August 6, 2013 2013 年 8 月 6 日 (Kurt Beschorner)

n=3949: c3520(3201065252......) = 16340896088312723494432150261681 * x3489(1958928834......)

# ECM B1=1e6, sigma=1785212237

n=3949: x3489(1958928834......) = 922412332043886417999435413739409 * c3456(2123701913......)

# ECM B1=1e6, sigma=2702552774

August 4, 2013 2013 年 8 月 4 日 (Makoto Kamada)

n=67932: c20724(6108509388......) = 12300377202109 * c20711(4966115500......)

n=67970: c23280(9091000909......) = 12785402303731 * c23267(7110453541......)

n=67808: c31083(1573505130......) = 19015992726433 * c31069(8274640997......)

n=67826: c30792(1335571022......) = 10035406090601 * c30779(1330858970......)

n=67878: c22573(1000000000......) = 12788804991943 * c22559(7819338872......)

n=16929: c9698(1302549806......) = 14521061091637 * c9684(8970073181......)

n=67722: c22539(1731654028......) = 18940575982771 * c22525(9142562665......)

n=67760: c21109(2502516308......) = 15730184500801 * c21096(1590900798......)

n=67638: c22523(9457828585......) = 14843068600357 * c22510(6371882284......)

n=67530: c17984(3809477270......) = 14076013774411 * c17971(2706360857......)

n=67588: c33108(8343146301......) = 14342018823481 * c33095(5817274683......)

# 75055 of 100000 Phi_n(10) factorizations were cracked.

August 3, 2013 2013 年 8 月 3 日 (Makoto Kamada)

n=68698: c29382(1022182591......) = 17440215551543 * c29368(5861066272......)

n=68520: c18232(8062331294......) = 11877471130561 * c18219(6787919082......)

n=68388: c22080(9901000000......) = 10797035548861 * c22067(9170109661......)

n=68392: c33441(1325378092......) = 14216421466553 * c33427(9322867189......)

n=68118: c22694(1076485992......) = 13554649393687 * c22680(7941821002......)

n=34009: c33460(9000000000......) = 14368059539387 * c33447(6263893864......)

# 75053 of 100000 Phi_n(10) factorizations were cracked.

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